It is well known that very special $\Gamma$-spaces and grouplike $\E_\infty$
spaces both model connective spectra. Both these models have equivariant
analogues. Shimakawa defined the category of equivariant $\Gamma$-spaces and
showed that special equivariant $\Gamma$-spaces determine positive equivariant
spectra. Costenoble and Waner showed that grouplike equivariant
$\E_\infty$-spaces determine connective equivariant spectra.

We show that with suitable model category structures the category of
equivariant $\Gamma$-spaces is Quillen equivalent to the category of
equivariant $\E_\infty$ spaces. We define the units of equivariant ring spectra
in terms of equivariant $\Gamma$-spaces and show that the units of an
equivariant ring spectrum determines a connective equivariant spectrum.